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  • Castro, Alejandro J., et al. (author)
  • Transference of local to global L-2 maximal estimates for dispersive partial differential equations
  • 2019
  • In: Journal of Mathematical Analysis and Applications. - : Elsevier BV. - 0022-247X .- 1096-0813. ; 471:1-2, s. 411-422
  • Journal article (peer-reviewed)abstract
    • In this paper we give an elementary proof for transference of local to global maximal estimates for dispersive PDEs. This is done by transferring local L-2 estimates for certain oscillatory integrals with rough phase functions, to the corresponding global estimates. The elementary feature of our approach is that it entirely avoids the use of the wave packet techniques which are quite common in this context, and instead is based on scalings and classical oscillatory integral estimates.
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Type of publication
journal article (1)
Type of content
peer-reviewed (1)
Author/Editor
Castro, Alejandro J. (1)
Rodríguez-López, Sal ... (1)
Staubach, Wolfgang (1)
University
Uppsala University (1)
Stockholm University (1)
Language
English (1)
Research subject (UKÄ/SCB)
Natural sciences (1)
Year

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